Norm compactness of representing measures for R(K)

Measures of compactness in approach spaces

We investigate whether in the setting of approach spaces there exist measures of relative compactness, (relative) sequential compactness and (relative) countable compactness in the same vein as Kuratowski’s measure of compactness. The answer is yes. Not only can we prove that such measures exist, but we can give usable formulas for them and we can prove that they behave nicely with respect to e...

On Representing Claims for Coherent Risk Measures

We consider the problem of representing claims for coherent risk measures. For this purpose we introduce the concept of (weak and strong) time-consistency with respect to a portfolio of assets, generalizing the one defined in Delbaen [7]. In a similar way we extend the notion of m-stability, by introducing weak and strong versions. We then prove that the two concepts of mstability and time-cons...

Implications of the RK and RK∗ anomalies

We discuss the implications of the recently reported RK and RK∗ anomalies, the lepton flavor non-universality in the B → Kll and B → Kll. Using two sets of hadronic inputs of form factors, we perform a fit of the new physics to the RK and RK∗ data, and significant new physics contributions are found. We propose to study the lepton flavor universality in a number of related rare B,Bs, Bc and Λb ...

Ultraparabolic H-measures and compensated compactness

We present a generalization of compensated compactness theory to the case of variable and generally discontinuous coefficients, both in the quadratic form and in the linear, up to the second order, constraints. The main tool is the localization properties for ultra-parabolic H-measures corresponding to weakly convergent sequences.

Measures on Semi-Rings in R1 and Rk